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210132304331424 = 25313616343253553
BaseRepresentation
bin101111110001110100111101…
…010110110000001010100000
31000120000110012120210201110220
4233301310331112300022200
5210020301424402101144
62022525240431323040
762155362251150646
oct5761647526601240
91016013176721426
10210132304331424
1160a55678725832
121b69906b680480
13903351181c737
1439c665a297196
1519460542c0919
hexbf1d3d5b02a0

210132304331424 has 96 divisors (see below), whose sum is σ = 552091790001024. Its totient is φ = 69981325639680.

The previous prime is 210132304331423. The next prime is 210132304331471. The reversal of 210132304331424 is 424133403231012.

210132304331424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (210132304331423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828624232 + ... + 828877784.

It is an arithmetic number, because the mean of its divisors is an integer number (5750956145844).

Almost surely, 2210132304331424 is an apocalyptic number.

210132304331424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

210132304331424 is an abundant number, since it is smaller than the sum of its proper divisors (341959485669600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210132304331424 is a wasteful number, since it uses less digits than its factorization.

210132304331424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261270 (or 261262 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 210132304331424 its reverse (424133403231012), we get a palindrome (634265707562436).

The spelling of 210132304331424 in words is "two hundred ten trillion, one hundred thirty-two billion, three hundred four million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1361 2722 4083 5444 6343 8166 10888 12686 16332 19029 21776 25372 32664 38058 43552 50744 65328 76116 101488 130656 152232 202976 253553 304464 507106 608928 760659 1014212 1521318 2028424 3042636 4056848 6085272 8113696 8632823 12170544 17265646 24341088 25898469 34531292 51796938 69062584 103593876 138125168 207187752 276250336 345085633 414375504 690171266 828751008 1035256899 1380342532 1608286679 2070513798 2760685064 3216573358 4141027596 4824860037 5521370128 6433146716 8282055192 9649720074 11042740256 12866293432 16564110384 19299440148 25732586864 33128220768 38598880296 51465173728 77197760592 154395521184 2188878170119 4377756340238 6566634510357 8755512680476 13133269020714 17511025360952 26266538041428 35022050721904 52533076082856 70044101443808 105066152165712 210132304331424